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A box contains 10 balls, of which 4 are white and 6 are black. If one ball is dr

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Question: A box contains 10 balls, of which 4 are white and 6 are black. If one ball is drawn at random, what is the probability that it is white?

Options:

  1. 2/5
  2. 3/5
  3. 4/10
  4. 1/2

Correct Answer: 4/10

Solution: 

Probability of white = Number of white balls / Total balls = 4/10 = 2/5.

A box contains 10 balls, of which 4 are white and 6 are black. If one ball is dr

Practice Questions

Q1
A box contains 10 balls, of which 4 are white and 6 are black. If one ball is drawn at random, what is the probability that it is white?
  1. 2/5
  2. 3/5
  3. 4/10
  4. 1/2

Questions & Step-by-Step Solutions

A box contains 10 balls, of which 4 are white and 6 are black. If one ball is drawn at random, what is the probability that it is white?
  • Step 1: Identify the total number of balls in the box. There are 10 balls in total.
  • Step 2: Identify how many of those balls are white. There are 4 white balls.
  • Step 3: Use the formula for probability, which is: Probability = (Number of favorable outcomes) / (Total outcomes).
  • Step 4: Substitute the numbers into the formula: Probability of drawing a white ball = 4 (white balls) / 10 (total balls).
  • Step 5: Simplify the fraction 4/10 to get 2/5.
  • Probability – The likelihood of an event occurring, calculated as the ratio of favorable outcomes to the total number of possible outcomes.
  • Basic Counting – Understanding how to count the number of favorable outcomes (white balls) and total outcomes (all balls) in a sample space.
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